Atkin-Lehner |
2+ 3+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
5406a |
Isogeny class |
Conductor |
5406 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4160 |
Modular degree for the optimal curve |
Δ |
-376430592 = -1 · 213 · 3 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 5 -6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-759,-8427] |
[a1,a2,a3,a4,a6] |
j |
-48455467135993/376430592 |
j-invariant |
L |
0.90899854656904 |
L(r)(E,1)/r! |
Ω |
0.45449927328452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43248bb1 16218s1 91902n1 |
Quadratic twists by: -4 -3 17 |